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Finding the Fourth Proportional to 938.69, 1,406.06 and 608.82

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Solution

The fourth proportional to 938.69, 1,406.06 and 608.82 is: 911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.69 : 1,406.06 = 608.82 : x
  2. Step 2: Convert to fraction form
    938.69/1,406.06 = 608.82/x
  3. Step 3: Cross multiply
    938.69x = 1,406.06 × 608.82
  4. Step 4: Simplify right side
    938.69x = 856,031.42
  5. Step 5: Solve for x
    x = 856,031.42/938.69
  6. Step 6: Final answer
    x = 911.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.